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12478000002210 = 23351710872500937
BaseRepresentation
bin1011010110010100001011…
…0000011111010010100010
31122011212220021102010121000
42311211002300133102202
53113414421000032320
642312151501012430
72425335321002541
oct265450260372242
948155807363530
1012478000002210
113a80987778346
1214963a0b54116
136c68939b9692
14311d1d062158
151698ac425c90
hexb5942c1f4a2

12478000002210 has 128 divisors (see below), whose sum is σ = 35264426250240. Its totient is φ = 3128851003392.

The previous prime is 12478000002197. The next prime is 12478000002217. The reversal of 12478000002210 is 1220000087421.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12478000002217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3738862 + ... + 6239798.

It is an arithmetic number, because the mean of its divisors is an integer number (275503330080).

Almost surely, 212478000002210 is an apocalyptic number.

12478000002210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12478000002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17632213125120).

12478000002210 is an abundant number, since it is smaller than the sum of its proper divisors (22786426248030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12478000002210 is a wasteful number, since it uses less digits than its factorization.

12478000002210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502057 (or 2502051 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 12478000002210 its reverse (1220000087421), we get a palindrome (13698000089631).

The spelling of 12478000002210 in words is "twelve trillion, four hundred seventy-eight billion, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1087 1530 2174 2295 3261 4590 5435 6522 9783 10870 16305 18479 19566 29349 32610 36958 48915 55437 58698 92395 97830 110874 146745 166311 184790 277185 293490 332622 498933 554370 831555 997866 1663110 2494665 2500937 4989330 5001874 7502811 12504685 15005622 22508433 25009370 37514055 42515929 45016866 67525299 75028110 85031858 112542165 127547787 135050598 212579645 225084330 255095574 337626495 382643361 425159290 637738935 675252990 765286722 1147930083 1275477870 1913216805 2295860166 2718518519 3826433610 5437037038 5739650415 8155555557 11479300830 13592592595 16311111114 24466666671 27185185190 40777777785 46214814823 48933333342 73400000013 81555555570 92429629646 122333333355 138644444469 146800000026 231074074115 244666666710 277288888938 367000000065 415933333407 462148148230 693222222345 734000000130 831866666814 1247800000221 1386444444690 2079666667035 2495600000442 4159333334070 6239000001105 12478000002210